What are the solutions to the equation completesquare 4x^2-9x-6=0 ?

The solutions to the equation completesquare 4x^2-9x-6=0 are x=(sqrt(177)+9)/8 ,x=(-sqrt(177)+9)/8

Find the zeros of completesquare 4x^2-9x-6=0

The zeros of completesquare 4x^2-9x-6=0 are x=(sqrt(177)+9)/8 ,x=(-sqrt(177)+9)/8

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4 x^{2} - 9 x - 6 = 0

x = \frac{177 + 9}{8}, x = \frac{- 177 + 9}{8}

Decimal Notation

x = 2.78801 \dots, x = - 0.53801 \dots

Solution steps

4 x^{2} - 9 x - 6 = 0

Move

6

to the right side

4 x^{2} - 9 x = 6

Divide both sides by

4

\frac{4 x ^{2} - 9 x}{4} = \frac{6}{4}

x^{2} - \frac{9 x}{4} = \frac{3}{2}

Rewrite in the form

(x + a)^{2} = b

(x - \frac{9}{8})^{2} = \frac{177}{64}

For

the solutions are

f (x) = a, - a

Solve

x - \frac{9}{8} = \frac{177}{64} : x = \frac{177 + 9}{8}

Solve

x - \frac{9}{8} = - \frac{177}{64} : x = \frac{- 177 + 9}{8}

The solutions to the quadratic equation are:

x = \frac{177 + 9}{8}, x = \frac{- 177 + 9}{8}

u^{2} - 6 u

2 - x^{2} = 2 - x

\frac{x ^{2} - 1}{4} - \frac{3 x - 1}{6} = \frac{x}{2}

k^{2} + 3 k = 18

x^{2} - 2 = 14

What are the solutions to the equation completesquare 4x^2-9x-6=0 ?
The solutions to the equation completesquare 4x^2-9x-6=0 are x=(sqrt(177)+9)/8 ,x=(-sqrt(177)+9)/8
Find the zeros of completesquare 4x^2-9x-6=0
The zeros of completesquare 4x^2-9x-6=0 are x=(sqrt(177)+9)/8 ,x=(-sqrt(177)+9)/8